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Finding the Fourth Proportional to 189,972.72, 284,696.64 and 164,953.44

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Solution

The fourth proportional to 189,972.72, 284,696.64 and 164,953.44 is: 247,202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,972.72 : 284,696.64 = 164,953.44 : x
  2. Step 2: Convert to fraction form
    189,972.72/284,696.64 = 164,953.44/x
  3. Step 3: Cross multiply
    189,972.72x = 284,696.64 × 164,953.44
  4. Step 4: Simplify right side
    189,972.72x = 46,961,690,124.44
  5. Step 5: Solve for x
    x = 46,961,690,124.44/189,972.72
  6. Step 6: Final answer
    x = 247,202.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.